Abigail Fisher (right), the Texan involved in the University of Texas affirmative action case, walks outside the Supreme Court in 2012.

Susan WalshAP

The U.S. Supreme Court sent a case involving the use of race in the University of Texas' admissions process back to a lower court for stricter scrutiny on Monday. It's one more chapter in the university's long struggle with how it chooses who gets in.

Here's a brief look at some key moments:

1950: Four years before the landmark Brown v. Board of Education case, the U.S. Supreme Court rules in Sweatt v. Painter that the University of Texas has to let Heman Marion Sweatt, the grandson of a slave, into its all-white law school.

1997: After UT stops considering race at all in admissions, minority enrollment drops. In response, the Texas Legislature passes a law guaranteeing a spot at the University of Texas, Austin (or any public school) for all Texas high school students graduating in the top 10 percent of their class. (The law is later modified to give UT some flexibility.)

2003: The Supreme Court upholds the "narrowly tailored use of race" as a factor in the admissions process in a case involving the University of Michigan's law school. Two years later, UT once again begins considering race when evaluating potential students who are not in the top 10 percent of their class. Race is one part of UT's "personal achievement index," which also includes awards, extracurriculars, leadership skills and other attributes and is weighed alongside an "academic index" of grades and test scores.

2008: White honor roll student Abigail Fisher, who is not in the top 10 percent of her class, applies for admission to UT. She is rejected and sues, claiming her race worked against her.